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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 3 and fixed z > For fixed z and a=-13/3, b>=a > For fixed z and a=-13/3, b=6





http://functions.wolfram.com/07.23.03.5613.01









  


  








Input Form





Hypergeometric2F1[-(13/3), 6, -(4/3), z] == (1/39366) ((1/(-1 + z)^3) (3 (-13122 - 216513 z - 8227494 z^2 + 99810040 z^3 - 352666600 z^4 + 546606060 z^5 - 391791400 z^6 + 106506400 z^7)) + 1521520 z^(7/3) (13 - 65 z + 70 z^2) Log[1 - z^(1/3)] - 1521520 (-1)^(1/3) z^(7/3) (13 - 65 z + 70 z^2) Log[1 + (-1)^(1/3) z^(1/3)] + 1521520 (-1)^(2/3) z^(7/3) (13 - 65 z + 70 z^2) Log[1 - (-1)^(2/3) z^(1/3)])








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02